e=1/2mv^2 eching

$$e = 1 / 2 m v ^ { 2 }$$

m uchun yechish

$$m=\frac{2e}{v^{2}}$$

$$v\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{1}{2}mv^{2}=e$$

Tenglama standart shaklda.

$$\frac{v^{2}}{2}m=e$$

Ikki tarafini \frac{1}{2}v^{2} ga bo‘ling.

$$\frac{2\times \frac{v^{2}}{2}m}{v^{2}}=\frac{2e}{v^{2}}$$

\frac{1}{2}v^{2} ga bo'lish \frac{1}{2}v^{2} ga ko'paytirishni bekor qiladi.

$$m=\frac{2e}{v^{2}}$$

v uchun yechish (complex solution)

$$v=-\sqrt{2e}m^{-\frac{1}{2}}$$

$$v=\sqrt{2e}m^{-\frac{1}{2}}\text{, }m\neq 0$$

v uchun yechish

$$v=\sqrt{\frac{2e}{m}}$$

$$v=-\sqrt{\frac{2e}{m}}\text{, }m>0$$